Schauder estimates for fully nonlinear elliptic difference operators

Royal Society of Edinburgh - Proceedings A

Volumn 132, Issue 6, 2002, Pages 1395-1406

  Kuo, Hung Ju ^a   Trudinger, Neil S ^b  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036976972     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s030821050000216x     Document Type: Conference Paper

References (15)

1. D. Gilbarg and N. S. Trudinger. Elliptic partial differential equations of second order, 2nd edn (Springer, 1983).
2. D. W. Holtby. Higher-order estimates for fully nonlinear difference equation. PhD thesis, Australian National University (1996).
3. D. W. Holtby. Higher-order estimates for fully nonlinear difference equations. I. Proc. Edinb. Math. Soc. 43 (2000), 485-510.
4. H. J. Kuo and N. S. Trudinger. Linear elliptic difference inequalities with random coefficients. Math. Comp. 55 (1990), 37-53.
5. H. J. Kuo and N. S. Trudinger. Discrete methods for fully nonlinear elliptic equations. SIAM J. Numer. Analysis 29 (1992), 123-135.
6. H. J. Kuo and N. S. Trudinger. Positive difference operators on general meshes. Duke Math. J. 83 (1996), 415-433.
7. H. J. Kuo and N. S. Trudinger. Maximum principles for difference operators. In Topics in partial differential equations and applications: collected papers in honor of Carlo Pucci. Lecture Notes in Pure and Applied Mathematics Series, vol. 177, pp. 209-219 (New York: Dekker, 1996).
8. H. J. Kuo and N. S. Trudinger. Evolving monotone difference operators on general space-time meshes. Duke Math. J. 91 (1998), 587-607.
9. H. J. Kuo and N. S. Trudinger. A note on the discrete Aleksandrov-Bakelman maximum principle. Taiwan J. Math. 4 (2000), 55-67.
10. M. V. Safonov. On the classical solution of nonlinear elliptic equations of second order. Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988), 1272-1287. (Engish transl. Math. USSR Izvestiya 33 (1989), 597-612.)
11. M. V. Safonov. Nonlinear elliptic equations of second order. Lecture Notes (Università di Firenze, 1991).
12. W. M. Schmidt. Diophantine approximations and Diophantine equations. Lecture Notes in Mathematics, vol. 1467 (Springer, 1991).
13. V. Thomée. Discrete interior Schauder estimates for elliptic difference operators. SIAM J. Numer. Analysis 5 (1968), 626-645.
14. N. S. Trudinger. Regularity of solutions of fully nonlinear elliptic equations. Boll. UMI 3 (1984), 421-430.
15. N. S. Trudinger. Lectures on nonlinear elliptic equations of second order. Lectures in Mathematical Science, vol. 9 (University of Tokyo, 1995).